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Finding the Third Proportional to 379,904 and 812,512

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Solution

The third proportional to 379,904 and 812,512 is: 1,737,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,904 : 812,512 = 812,512 : x
  2. Step 2: Convert to fraction form
    379,904/812,512 = 812,512/x
  3. Step 3: Cross multiply
    379,904x = 812,512 × 812,512
  4. Step 4: Simplify right side
    379,904x = 660,175,750,144
  5. Step 5: Solve for x
    x = 660,175,750,144/379,904
  6. Step 6: Final answer
    x = 1,737,743.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.